Analysis of a Rocking and Walking Punch—Part I: Initial Transient and Steady State

Abstract

A rigid, square-ended punch resting on a incompressible half-plane, and subjected to a constant shearing force, together with a normal force, constant in magntiude, but moving backwards and forwards over the face, is studied. The shearing force is insufficient to cause sliding, but the presence of a slip region which migrates in from each contact edge as the punch rocks back and forth may permit a steady rigid-body motion to occur. The conditions for this are found, both for the early transient problem, starting from complete adhesion, and in the steady state.